{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T01:36:11Z","timestamp":1760060171499,"version":"build-2065373602"},"reference-count":27,"publisher":"MDPI AG","issue":"8","license":[{"start":{"date-parts":[[2025,8,8]],"date-time":"2025-08-08T00:00:00Z","timestamp":1754611200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100002713","name":"Deanship of Scientific Research at Imam Mohammad Ibn Saud Islamic University (IMSIU)","doi-asserted-by":"publisher","award":["IMSIU-DDRSP2504"],"award-info":[{"award-number":["IMSIU-DDRSP2504"]}],"id":[{"id":"10.13039\/501100002713","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>In this investigation, we introduce a new meromorphic operator defined by meromorphic univalent functions. A new class of meromorphic functions is introduced by this operator, which can generate several distinct subclasses depending on the values of its parameters. Within the framework of this class of functions, we obtain several significant algebraic and geometric properties, including coefficient estimates, distortion theorems, the radius of starlikeness, convex combination closure, extreme point characterization, and neighborhood structure. Our findings are sharp, offering accurate and significant insights into the mathematical structure and behavior of these functions. In addition, we present several applications of these results in fluid mechanics, like identifying stagnation points in vortex flows, predicting velocity decline in source\/sink systems, and determining stability thresholds that protect crucial streamlines from perturbations, which demonstrates that the introduced operator and class characterize critical properties of 2D potential flows.<\/jats:p>","DOI":"10.3390\/axioms14080620","type":"journal-article","created":{"date-parts":[[2025,8,8]],"date-time":"2025-08-08T11:41:53Z","timestamp":1754653313000},"page":"620","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Sharp Results and Fluid Flow Applications for a Specific Class of Meromorphic Functions Introduced by a New Operator"],"prefix":"10.3390","volume":"14","author":[{"ORCID":"https:\/\/orcid.org\/0009-0009-9337-7221","authenticated-orcid":false,"given":"Aya F.","family":"Elkhatib","sequence":"first","affiliation":[{"name":"Mathematics and Computer Science Department, Faculty of Science, Beni-Suef University, Beni-Suef 62511, Egypt"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7676-1020","authenticated-orcid":false,"given":"Atef F.","family":"Hashem","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Statistics, Faculty of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh 11623, Saudi Arabia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Adela O.","family":"Mostafa","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Faculty of Science, Mansura University, Mansura 35516, Egypt"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Mohammed M.","family":"Tharwat","sequence":"additional","affiliation":[{"name":"Mathematics and Computer Science Department, Faculty of Science, Beni-Suef University, Beni-Suef 62511, Egypt"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2025,8,8]]},"reference":[{"key":"ref_1","unstructured":"Weierstrass, K. (1895). Mathematische Werke, Mayer and Muller."},{"key":"ref_2","unstructured":"Weber, H. (1892). Gesammelte Mathematische Werke und Wissenschaftlicher Nachlass, Teubner Verlag, B.G.. [2nd ed.]."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"221","DOI":"10.2140\/pjm.1963.13.221","article-title":"On meromorphic starlike functions","volume":"13","author":"Pommerenke","year":"1963","journal-title":"Pac. J. Math."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"220","DOI":"10.1090\/S0002-9939-1970-0259098-7","article-title":"Convex meromorphic mapping and related functions","volume":"25","author":"Miller","year":"1970","journal-title":"Proc. Am. Math. Soc."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"2229","DOI":"10.2478\/amns.2023.1.00407","article-title":"Geometric properties of a linear complex operator on a subclass of meromorphic functions: An analysis of Hurwitz-Lerch-Zeta functions","volume":"8","author":"Ghanim","year":"2023","journal-title":"Appl. Math. Nonlinear Sci."},{"key":"ref_6","doi-asserted-by":"crossref","unstructured":"Breaz, D., Karthikeyan, K.R., and Murugusundaramoorthy, G. (2024). Applications of Mittag\u2013Leffler functions on a subclass of meromorphic functions influenced by the definition of a non-Newtonian derivative. Fractal Fract., 8.","DOI":"10.3390\/fractalfract8090509"},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"1894","DOI":"10.29020\/nybg.ejpam.v17i3.5259","article-title":"A specific class of harmonic meromorphic functions associated with the Mittag-Leffler transformation","volume":"17","author":"Ahmed","year":"2024","journal-title":"Eur. J. Pure Appl. Math."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"419","DOI":"10.3103\/S1068362324700328","article-title":"A class of meromorphic functions involving higher order derivative","volume":"59","author":"Wang","year":"2024","journal-title":"J. Contemp. Math. Anal."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"253","DOI":"10.1017\/S0080456800002751","article-title":"On q-functions and a certain difference operator","volume":"46","author":"Jackson","year":"1908","journal-title":"Trans. R. Soc. Edinb."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"797","DOI":"10.1155\/S016117129600110X","article-title":"Neighborhood of certain analytic functions with negative coefficient","volume":"19","author":"Altintas","year":"1996","journal-title":"Int. J. Math. Math. Sci."},{"key":"ref_11","first-page":"1","article-title":"On some families of analytic and meromorphic functions associated with certain linear operators","volume":"55","author":"Srivastava","year":"2005","journal-title":"Math. Slovaca"},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"598","DOI":"10.1090\/S0002-9939-1957-0086879-9","article-title":"Univalent functions and nonanalytic curves","volume":"8","author":"Goodman","year":"1957","journal-title":"Proc. Am. Math. Soc."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"85","DOI":"10.1017\/S0004972700005062","article-title":"Certain integrals for classes of p-valent meromorphic functions","volume":"25","author":"Kumar","year":"1982","journal-title":"Bull. Aust. Math. Soc."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"137","DOI":"10.1017\/S0004972700028859","article-title":"New criteria for meromorphic starlike univalent functions","volume":"43","author":"Uralegaddi","year":"1991","journal-title":"Bull. Aust. Math. Soc."},{"key":"ref_15","first-page":"1","article-title":"Class of meromorphic functions related to new operators","volume":"12","author":"Yehia","year":"2024","journal-title":"Electron. J. Math. Anal. Appl."},{"key":"ref_16","doi-asserted-by":"crossref","unstructured":"El-Ityan, M., Cot\u00eerl\u0103, L.-I., Al-Hawary, T., Hammad, S., Breaz, D., and Buti, R. (2025). New subclass of meromorphic functions defined via Mittag\u2013Leffler function on Hilbert space. Symmetry, 17.","DOI":"10.3390\/sym17050728"},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"6107","DOI":"10.29020\/nybg.ejpam.v18i2.6107","article-title":"A specific category of meromorphic functions with positive coefficients","volume":"18","author":"Alnajar","year":"2025","journal-title":"Eur. J. Pure Appl. Math."},{"key":"ref_18","unstructured":"Gasper, G., and Rahman, M. (1990). Basic Hypergeometric Series, Cambridge University Press."},{"key":"ref_19","first-page":"1","article-title":"Classes of meromorphic p-valent parabolic starlike functions with positive coefficients","volume":"2","author":"Kumar","year":"2005","journal-title":"Aust. J. Math. Anal. Appl."},{"key":"ref_20","first-page":"1","article-title":"On a certain class of meromorphic functions with positive coefficients","volume":"32","author":"Dziok","year":"2012","journal-title":"Acta Math. Sci. B"},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1155\/2014\/923607","article-title":"Meromorphic parabolic starlike functions associated with q-hypergeometric series","volume":"2014","author":"Murugusundaramoorthy","year":"2014","journal-title":"ISRN Math. Anal."},{"key":"ref_22","doi-asserted-by":"crossref","unstructured":"El-Deeb, S.M., Murugusundaramoorthy, G., Vijaya, K., and Alburaikan, A. (2023). Pascu-R\u00f8nning type meromorphic functions based on S\u0103l\u0103gean-Erd\u00e9ly\u2013Kober operator. Axioms, 12.","DOI":"10.3390\/axioms12040380"},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"1","DOI":"10.21608\/jfca.2025.370655.1167","article-title":"On uniformly starlike and convex univalent functions","volume":"16","author":"Yehia","year":"2025","journal-title":"J. Fract. Calc. Appl."},{"key":"ref_24","doi-asserted-by":"crossref","unstructured":"Tayyah, A.S., Atshan, W.G., and Oros, G.I. (2025). Third-order differential subordination results for meromorphic functions associated with the inverse of the Legendre Chi function via the Mittag-Leffler identity. Mathematics, 13.","DOI":"10.3390\/math13132089"},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"521","DOI":"10.1090\/S0002-9939-1981-0601721-6","article-title":"Neighborhoods of univalent functions","volume":"81","author":"Ruscheweyh","year":"1981","journal-title":"Proc. Am. Math. Soc."},{"key":"ref_26","first-page":"1299","article-title":"Derivation of thermal relaxation time between two-phase flow under the effect of heating sink","volume":"9","author":"Mohammadein","year":"2015","journal-title":"Appl. Math. Inf. Sci."},{"key":"ref_27","unstructured":"Kothandaraman, C.P., and Rudramoorthy, R. (2009). Fluid Mechanics and Machinery, New Age Publications (Academic)."}],"container-title":["Axioms"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2075-1680\/14\/8\/620\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,9]],"date-time":"2025-10-09T18:26:26Z","timestamp":1760034386000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2075-1680\/14\/8\/620"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,8,8]]},"references-count":27,"journal-issue":{"issue":"8","published-online":{"date-parts":[[2025,8]]}},"alternative-id":["axioms14080620"],"URL":"https:\/\/doi.org\/10.3390\/axioms14080620","relation":{},"ISSN":["2075-1680"],"issn-type":[{"type":"electronic","value":"2075-1680"}],"subject":[],"published":{"date-parts":[[2025,8,8]]}}}